Search a number
-
+
231202311022320 = 2435111131089171161
BaseRepresentation
bin110100100100011011111011…
…100111101010011011110000
31010022121201120120122000200020
4310210123323213222123300
5220301004313110203240
62135420513030323440
766461546541046341
oct6444337347523360
91108551516560606
10231202311022320
116773939315a7a0
1221b206821b9580
139c01390a19c51
1441143743d60c8
151bae1818a10d0
hexd246fb9ea6f0

231202311022320 has 320 divisors, whose sum is σ = 788887020999168. Its totient is φ = 55547154432000.

The previous prime is 231202311022231. The next prime is 231202311022349. The reversal of 231202311022320 is 23220113202132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3248967540 + ... + 3249038700.

Almost surely, 2231202311022320 is an apocalyptic number.

231202311022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231202311022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394443510499584).

231202311022320 is an abundant number, since it is smaller than the sum of its proper divisors (557684709976848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231202311022320 is a wasteful number, since it uses less digits than its factorization.

231202311022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82192 (or 82186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 231202311022320 its reverse (23220113202132), we get a palindrome (254422424224452).

The spelling of 231202311022320 in words is "two hundred thirty-one trillion, two hundred two billion, three hundred eleven million, twenty-two thousand, three hundred twenty".